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lana [24]
3 years ago
10

Liza gets paid $5.50 an hour to babysit her little cousins. Last weekend, she watched them for three hours on Friday, nine hours

on Saturday, and seven hours on Sunday. How much money does her aunt owe her for her babysitting services?
Mathematics
2 answers:
maks197457 [2]3 years ago
8 0

Answer:

104 dollars and 50 cents

Step-by-step explanation:

It's really simple. You just find the total of the hours and multiply it by how much each costs. Simple, right? Let's go through it together.

Since we want to know the total, we do this: 7+9+3

And we know each hour is worth 5 dollars and 50 cents.

So let's make the total "X". Still with me? Let's finish.

So: (7+9+3) * 5.50 = X

     (19) * 5.50 = X

     <em><u>104.50 = X</u></em>

wel3 years ago
4 0

Answer:

$104.5

Step-by-step explanation:

19 hrs total times $5.50 hr

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3 years ago
A jogger runs 140 m due west, then changes direction for the second leg of her run. At the end of the run, she is 374 m away fro
USPshnik [31]

Answer:

The length of her second displacement = 247.12 m.

The direction of her second displacement = 31.24° from west.

Step-by-step explanation:

As per the question,

From the figure as drawn below,

Let the starting point be O. After running 140 m due west, she reached at point A.

∴ OA = 140 m

And At the end of the run, she is 374 m away from the starting point at an angle of 20° north of west.

∴ OP = 374 m

We have to find the distance AP = x.

By using the cosine rule in triangle OAP

cos \theta = \frac{OA^{2}+OP^{2}-AP^{2}}{2\times OA\times OP}

After putting the given value, we get

cos 20= \frac{140^{2}+374^{2}-x^{2}}{2\times 140\times 374}

x^{2}=140^{2}+374^{2} - 2\times 140\times 374\times cos 20

  ∴ x = 247.12 m  

Hence,the length of her second displacement = 247.12 m.

Again,

By using the cosine rule in triangle OAP, we get

cos \alpha = \frac{OA^{2}+AP^{2}-OP^{2}}{2\times OA\times AP}

After putting the given value, we get

cos \alpha = \frac{140^{2}+247.12^{2}-374^{2}}{2\times 140\times 247.12}

∴ α = 148.759°

Hence, the  direction of her second displacement = 180° - α = 180° - 148.759 = 31.24° from west.

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787476464.1234444×123444848847757747474= ?
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Answer:

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